Geometric model

Geometric model

Geometric model(l)ing is the construction or use of geometric models. Geometric models are used in computer graphics, computer-aided design and manufacturing, and many applied fields such as medical image processing.

Geometric models can be built for objects of any dimension in any geometric space. Both 2D and 3D geometric models are extensively used in computer graphics. 2D models are important in computer typography and technical drawing. 3D models are central to computer-aided design and manufacturing, and many applied technical fields such as geology and medical image processing.

Geometric models are usually distinguished from procedural and object-oriented models, which define the shape implicitly by an algorithm. They are also contrasted with digital images and volumetric models; and with implicit mathematical models such as the zero set of an arbitrary polynomial. However, the distinction is often blurred: for instance, geometric shapes can be represented by objects; a digital image can be interpreted as a collection of colored squares; and geometric shapes such as circles are defined by implicit mathematical equations. Also, the modeling of fractal objects often requires a combination of geometric and procedural techniques.

*Computational geometry


Wikimedia Foundation. 2010.

Игры ⚽ Нужно сделать НИР?

Look at other dictionaries:

  • 2D geometric model — A 2D geometric model is a geometric model of an object as two dimensional figure, usually on the Euclidean or Cartesian plane. Even though all material objects are three dimensional, a 2D geometric model is often adequate for certain flat objects …   Wikipedia

  • Model theory — This article is about the mathematical discipline. For the informal notion in other parts of mathematics and science, see Mathematical model. In mathematics, model theory is the study of (classes of) mathematical structures (e.g. groups, fields,… …   Wikipedia

  • Geometric dimensioning and tolerancing — (GD T) is a system for defining and communicating engineering tolerances. It uses a symbolic language on engineering drawings and computer generated three dimensional solid models for explicitly describing nominal geometry and its allowable… …   Wikipedia

  • Model selection — is the task of selecting a statistical model from a set of candidate models, given data. In the simplest cases, a pre existing set of data is considered. However, the task can also involve the design of experiments such that the data collected is …   Wikipedia

  • Model-based definition — (MBD), also known as digital product definition (DPD), is the practice of using 3D digital data (such as solid models and associated metadata) within 3D CAD software to provide specifications for individual components and product assemblies. The… …   Wikipedia

  • geometric hallucination —    Also known as geometrical hallucination, geometric visual hallucination, and optogeometric illusion. All four terms can be traced to the Greek noun geometria, which means land surveying. They are used to denote a * formed visual hallucination… …   Dictionary of Hallucinations

  • Geometric hashing — In computer science, geometric hashing is a method for efficiently finding two dimensional objects represented by discrete points that have undergone an affine transformation. (Extensions exist to some other object representations and… …   Wikipedia

  • Geometric primitive — The term geometric primitive in computer graphics and CAD systems is used in various senses, with common meaning of atomic geometric objects the system can handle (draw, store). Sometimes the subroutines that draw the corresponding objects are… …   Wikipedia

  • Geometric invariant theory — In mathematics Geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces. It was developed by David Mumford in 1965, using ideas from the paper… …   Wikipedia

  • Geometric Description Language — In computer aided design, Geometric Description Language (GDL) is the programming language of ArchiCAD library parts. GSM is the file format of these CAD objects. Area of usageThese objects are similar to blocks in AutoCAD, but unlike blocks,… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”